【摘要】 考虑具正负系数的时滞微分方程 x’（t）+p（t）x（t-）-q（t）x（t-r）=0,（1）其中p,q∈C（[t₀,∞）,R⁺),τ,r∈R⁺=[0,∞).我们获得了（1）的所有解振动的充分条件.也研究了（1）的所有非振动解的渐近性.更多还原

【Abstract】 Consider the delay differential equation with positive and negative coefficientsx’(t) + p(t)x(t - r) - g(t)x(t - r) = 0, (1)where p,q ∈ C([t0,∞),R+),τ,r ∈ R+ = [0,∞) . Some sufficient conditions for all solutions of (1) to be oscillatory are obtained. We also discuss the asymptotic behavior of nonoscillatory solutions of (1).更多还原